Geodesic
Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 9, pp. 1602-1613 
R. V. Khachaturov. Multiobjective optimization in a pseudometric objective space as applied to a general model of business activities. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 56 (2016) no. 9, pp. 1602-1613. http://geodesic.mathdoc.fr/item/ZVMMF_2016_56_9_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

It is shown that finding the equivalence set for solving multiobjective discrete optimization problems is advantageous over finding the set of Pareto optimal decisions. An example of a set of key parameters characterizing the economic efficiency of a commercial firm is proposed, and a mathematical model of its activities is constructed. In contrast to the classical problem of finding the maximum profit for any business, this study deals with a multiobjective optimization problem. A method for solving inverse multiobjective problems in a multidimensional pseudometric space is proposed for finding the best project of firm's activities. The solution of a particular problem of this type is presented.

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